8758784160 has 864 divisors, whose sum is σ = 37744237440. Its totient is φ = 1809174528.

The previous prime is 8758784159. The next prime is 8758784197. The reversal of 8758784160 is 614878578.

It is a happy number.

It is a super-2 number, since 2×8758784160² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8758784097 and 8758784106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105527479 + ... + 105527561.

It is an arithmetic number, because the mean of its divisors is an integer number (43685460).

Almost surely, 2^8758784160 is an apocalyptic number.

8758784160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8758784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872118720).

8758784160 is an abundant number, since it is smaller than the sum of its proper divisors (28985453280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8758784160 is a wasteful number, since it uses less digits than its factorization.

8758784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 8758784160 is about 93588.3762013211. The cubic root of 8758784160 is about 2061.3319817477.

The spelling of 8758784160 in words is "eight billion, seven hundred fifty-eight million, seven hundred eighty-four thousand, one hundred sixty".